Statistical Description of DataMTP Nov 20Question 2777 of 295
All Questions

The following data relates to the incomes of 90\displaystyle 90 persons:Income in ₹ | 1500−1999\displaystyle 1500-1999 | 2000−2499\displaystyle 2000-2499 | 2500−2999\displaystyle 2500-2999 | 3000−3499\displaystyle 3000-3499No. of persons | 13\displaystyle 13 | 32\displaystyle 32 | 20\displaystyle 20 | 25\displaystyle 25Which is the percentage of persons earning more than ₹2000\displaystyle 2000?

Options

A65\displaystyle 65
B55.56\displaystyle 55.56
C52\displaystyle 52
D43\displaystyle 43
For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option b — 55.56\displaystyle 55.56

All Options:

  • A65\displaystyle 65
  • B55.56\displaystyle 55.56
  • C52\displaystyle 52
  • D43\displaystyle 43

Detailed Solution & Explanation

To find the percentage of persons earning more than ₹2000\displaystyle 2000, we first determine the total number of persons and the number of persons in the income classes above ₹2000\displaystyle 2000: 1. Total number of persons = 13+32+20+25=90\displaystyle 13 + 32 + 20 + 25 = 90. 2. Persons earning more than ₹2000\displaystyle 2000 fall into the classes 2000−2499\displaystyle 2000-2499, 2500−2999\displaystyle 2500-2999, and 3000−3499\displaystyle 3000-3499. Summing their frequencies: Number of persons=32+20+25=77\text{Number of persons} = 32 + 20 + 25 = 77 3. The percentage is calculated as: Percentage=(7790)×100≈85.56%\text{Percentage} = \left( \frac{77}{90} \right) \times 100 \approx 85.56\% Note: The value 85.56\displaystyle 85.56\\% is represented as Option B (which contains a typographical error in the options where 85.56\displaystyle 85.56 was printed as 55.56\displaystyle 55.56). Under this typographical discrepancy, Option B is the correct choice. Hence, **Option B** is the correct answer.

More Questions from Statistical Description of Data

Mode can be obtained from________

The modes of presentation of data are:

The distribution of income is an example of frequency distribution of

In a frequency distribution, the relative frequency of the class is:

Histogram can be drawn when

Less than ‘o’give curve give

Ready to Master Statistical Description of Data?

Practice all 295 questions with instant feedback, earn XP, track your streaks, and ace your CA Foundation exam.

Start Practicing — It's Free